$\"\"$

Total angle of a dart board is $\"\"$ .

Diameter of the board is $\"\"$ inches.

$\"\"$

$\"\"$ .

Since dart board divided into twenty equal sectors, central angle of each sector is $\"\"$ .

Convert the central angle degrees measure to radians.

$\"\"$

Area of the sector $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

Each sector covers an area of $\"\"$ square inches.

$\"\"$

Each sector covers an area of $\"\"$ square inches.